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Finding the Third Proportional to 388,842.75 and 595,102.50

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Solution

The third proportional to 388,842.75 and 595,102.50 is: 910,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,842.75 : 595,102.50 = 595,102.50 : x
  2. Step 2: Convert to fraction form
    388,842.75/595,102.50 = 595,102.50/x
  3. Step 3: Cross multiply
    388,842.75x = 595,102.50 × 595,102.50
  4. Step 4: Simplify right side
    388,842.75x = 354,146,985,506.25
  5. Step 5: Solve for x
    x = 354,146,985,506.25/388,842.75
  6. Step 6: Final answer
    x = 910,771.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.